A circular rod of length L and area of cross-section A has a modulus of elasticity E and coefficient of thermal expansion - One end of the rod is fixed and other end is free- If the temperature of the rod is increased by - T- then

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard VII

Physics

Young's Modulus of Elasticity

A circular ro...

Question

A circular rod of length L and area of cross-section A has a modulus of elasticity E and coefficient of thermal expansion $α$ . One end of the rod is fixed and other end is free. If the temperature of the rod is increased by $Δ T$ , then

stress developed in the rod is

E α Δ T

and strain developed in the road is

α Δ T

No worries! We‘ve got your back. Try BYJU‘S free classes today!

both stress and strain developed in the rod are zero

No worries! We‘ve got your back. Try BYJU‘S free classes today!

stress developed in the rod is zero and strain developed in the rod is

α Δ T

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

stress developed in the rod is

E α Δ T

and strain developed in the rod is zero.

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C stress developed in the rod is zero and strain developed in the rod is $α Δ T$
For thermal stress to be developed, there must be constraint in the system. So, although strain develops but there is no thermal stress.

Suggest Corrections

Similar questions

Q. A metal rod is fixed rigidly at two ends so as to prevent its thermal expansion. If

L, α

and

Y

respectively denote the length of the rod, coefficient of linear thermal expansion and Young's modulus of its material, then for an increase in temperature of the rod by

Δ T

, the longitudinal stress developed in the rod is:

Q. A steel rod of length L and diameter D, fixed at both ends, is uniformly heated to a temperature rise of

Δ T

. The Young's modulus is E and the coefficient of linear expansion is

α

. The thermal stress in the rod is

Q. A rod is acted by two equal forces as shown in figure , The coefficient of thermal expansion of the rod is

α

and area of cross section is A . When the temperature the rod increased by

Δ t

. The length of the rod does not change . The young's modulus Y will be

A metal rod, fixed at both ends, has a length $l$ ,area of cross section $A$ and youngs modulus $Y$ and coefficient of linear expansion $α$ is heated through $t^{0} C$ . The work done in heating the rod is

Q. Two elastic rods are joined between fixed supports as shown in figure. Condition for no change in the lengths of the individual rods with increase in temperature -
[Given

α \to

linear expansion coefficient,

A \to

area of cross-section of rod,

Y \to

Young's modulus and

L \to

length of rod]

Join BYJU'S Learning Program

A circular rod of length L and area of cross-section A has a modulus of elasticity E and coefficient of thermal expansion α. One end of the rod is fixed and other end is free. If the temperature of the rod is increased by ΔT, then

The correct option is C stress developed in the rod is zero and strain developed in the rod is αΔT For thermal stress to be developed, there must be constraint in the system. So, although strain develops but there is no thermal stress.

A circular rod of length L and area of cross-section A has a modulus of elasticity E and coefficient of thermal expansion $α$ . One end of the rod is fixed and other end is free. If the temperature of the rod is increased by $Δ T$ , then

The correct option is C stress developed in the rod is zero and strain developed in the rod is $α Δ T$
For thermal stress to be developed, there must be constraint in the system. So, although strain develops but there is no thermal stress.